• Title/Summary/Keyword: Optimal search

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Complexity and Algorithms for Optimal Bundle Search Problem with Pairwise Discount

  • Chung, Jibok;Choi, Byungcheon
    • Journal of Distribution Science
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    • v.15 no.7
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    • pp.35-41
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    • 2017
  • Purpose - A product bundling is a marketing approach where multiple products or components are packaged together into one bundle solution. This paper aims to introduce an optimal bundle search problem (hereinafter called "OBSP") which may be embedded with online recommendation system to provide an optimized service considering pairwise discount and delivery cost. Research design, data, and methodology - Online retailers have their own discount policy and it is time consuming for online shoppers to find an optimal bundle. Unlike an online system recommending one item for each search, the OBSP considers multiple items for each search. We propose a mathematical formulation with numerical example for the OBSP and analyzed the complexity of the problem. Results - We provide two results from the complexity analysis. In general case, the OBSP belongs to strongly NP-Hard which means the difficulty of the problem while the special case of OBSP can be solved within polynomial time by transforming the OBSP into the minimum weighted perfect matching problem. Conclusions - In this paper, we propose the OBSP to provide a customized service considering bundling price and delivery cost. The results of research will be embedded with an online recommendation system to help customers for easy and smart online shopping.

The Performance Evaluation of Method to Process Nearest neighbor Queries Using an Optimal Search Distance (최적탐색거리를 이용한 최소근접질의 처리 방법의 성능 평가)

  • Seon, Hwi-Jun;Kim, Hong-Gi
    • The Transactions of the Korea Information Processing Society
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    • v.6 no.1
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    • pp.32-41
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    • 1999
  • In spatial database system, the nearest neighbor query occurs frequently and requires the processing cost higher than other spatial queries do. The number of nodes to be searched in the index can be minimized for optimizing the cost of processing the nearest neighbor query. The optimal search distance is pr9posed for the measurement of a search distance to accurately select the nodes which will be searched in the nearest neighbor query. In this paper, we prove properties of the optimal search distance in N-dimensional. We show through experiments that the performance of query processing of our method is superior to other method using maximum search distance.

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Dijkstra's Search-Based Sphere Decoding with Complexity Constraint (제한된 연산량을 갖는 Dijkstra 탐색 기반의 스피어 디코딩)

  • Yoon, Hye-yeon;Kim, Tae-Hwan
    • Journal of the Institute of Electronics and Information Engineers
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    • v.54 no.7
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    • pp.12-18
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    • 2017
  • This paper presents a Dijkstra's-search-based sphere decoding (SD) algorithm with limited complexity for the symbol detection in MIMO communication systems. The Dijkstra search-based SD is efficient to achieve a near-optimal error rate in the MIMO symbol detection, but has a critical problem in that its complexity is variable and can correspond to that of the exhaustive search in the worst case. The proposed algorithm limits the computations while achieving a near-optimal error rate. Simulation results show that the error rate is near optimal even with the limited complexity.

A modified tabu search for redundancy allocation problem of complex systems of ships

  • Kim, Jae-Hwan;Jang, Kil-Woong
    • Journal of Advanced Marine Engineering and Technology
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    • v.38 no.2
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    • pp.225-232
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    • 2014
  • The traditional RAP (Redundancy Allocation Problem) of complex systems has considered only the redundancy of subsystem with homogeneous components. In this paper we extend it as a RAP of complex systems with heterogeneous components which is more flexible than the case of homogeneous components. We model this problem as a nonlinear integer programming problem, find its optimal solution by tabu search, and suggest an example of the efficient reliability design with heterogeneous components. In order to improve the quality of the solution of the tabu search, we suggest a modified tabu search to employ an adaptive procedure (1-opt or 2-opt exchange) to generate the efficient neighborhood solutions. Computational results show that our modified procedure obtains better solutions as the size of problem increases from 30 to 50, even though it requires rather more computing time. With some adjustment of the parameters of the proposed method, it can be applied to the optimal reliability designs of complex systems of ships.

Hybrid Search for Vehicle Routing Problem With Time Windows (시간제약이 있는 차량경로문제에 대한 Hybrid 탐색)

  • Lee, Hwa-Ki;Lee, Hong-Hee;Lee, Sung-Woo;Lee, Seung-Woo
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.29 no.3
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    • pp.62-69
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    • 2006
  • Vehicle routing problem with time windows is determined each vehicle route in order to minimize the transportation costs. All delivery points in geography have various time restriction in camparision with the basic vehicle routing problem. Vechicle routing problem with time windows is known to be NP-hard, and it needs a lot of computing time to get the optimal solution, so that heuristics are more frequently developed than optimal algorithms. This study aims to develop a heuristic method which combines guided local search with a tabu search in order to minimize the transportation costs for the vehicle routing assignment and uses ILOG programming library to solve. The computational tests were performed using the benchmark problems.

Cell Search In Asynchronous W-CDMA System (비동기식 W-CDMA 시스템의 셀 탐색(Cell Search)에 관한연구)

  • 김강온;김병학;김철성
    • Proceedings of the IEEK Conference
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    • 2001.06a
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    • pp.325-328
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    • 2001
  • In this work, Cell search which is one of the important abilities of W-CDMA system in Reyleigh s fading channel is studied by using Cell Searcher of asynchronous IMT-2000 system(3GPP) and Cell - search simulation. For the methods of cell search to optimize codes, three stages are considered: 1) slot synchronization, 2) frame synchronization, and 3) scrambling code identification. It is found that key system parameters such as Primary Synchronization Channel (P-SCH), Secondary L Synchronization Channel(S-SCH), and Common Pilot Channel (CPCH) loading factor are optimized. It is noted that the smaller Optimal threshold value, the larger SNR of the received singnal. Therefore, It is important that the optimal threshold value is selected in the region of SNR

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A Cross-Diamond-Triangle Search Algorithm for Fast Block-Matching Motion Estimation (고속 블록 정합 움직임 측정을 위한 십자-다이아몬드-삼각 탐색 알고리즘)

  • Kim, Seong-Hoon;Shin, Jae-Min;Oh, Seoung-Jun;Ahn, Chang-Beom;Park, Ho-Chong;Sim, Dong-Gyu
    • Journal of Broadcast Engineering
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    • v.10 no.3
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    • pp.357-371
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    • 2005
  • In this Paper, we propose a new motion search algorithm called CDTS (Cross-Diamond-Triangle Search algorithm) that uses optimal search pattern according to the position of a search area to improve the performance of CDS(Cross-Diamond Search algorithm) as well as CDHSs(Cross-Diamond-Hexagonal Searches algorithms). We analyze motion distributions in various test video sequences to apply optimal search pattern according to a position of search area. Based on the result of this analysis, we propose a new triangle-shaped search pattern whose structure is asymmetric while previous search patterns are generally symmetric in conventional algorithms. In CDTS, we apply cross- and diamond-shaped search patterns to central search areas, and triangle- and diamond-shaped patterns to the other areas. Applying CDTS to test video sequences, the proposed scheme can reduce search points more than CDS and CDHSs by 16.22$\%$ and 3.09$\%$, respectively, without any visual quality degradation.

A TWO-DIMENSIONAL MAXIMUM SEARCH MEHHOD BY A GLOBAL PRIORITY STRATEGY WITH LOCAL PEAK ESTIMATION:ITS OPTIMAL SWITCHING CRITERION

  • Wakasugi, Yoshizumi;Yasuda, Genichi;Shin, Seiichi
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.488-491
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    • 1995
  • The paper presents a new global maximum search method for multimodal unknown functions of two variables. The search method is composed of two stages and sequentially samples the candidate point in a subdomain selected using a priority function in each stage. The search domain is auto-similarly divided into triangular subdomains, or cells, during the search process. A measure of accuracy of local maximum search is introduced to check if a local search has converged to a specified accuracy or the maximum of a local peak cannot be the global maximum. A criterion for switching from the first to the second stage, is proposed using a ratio of the observed peak width to the largest cell in the domain. By numerical simulations, the required number of trials is evaluated for some function models with different peak parameters, and the switching criterion is optimally determined. The results show that the proposed method obtains global maximum points with certainty and saves largely computation time even for functions with extremely steep peaks.

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Optimization of Design Variable for Injection Molding Using a Modified Golden Section Search Method (수정된 황금분할 탐색법을 이용한 사출성형 설계인자의 최적화)

  • Park, Jong-Cheon;Kim, Kyung-Mo
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.16 no.1
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    • pp.63-69
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    • 2017
  • The golden section search method is widely used to optimize a single design variable in many fields due to its superior advantages of search. In this paper, a new direct search method is proposed by modifying the search structure of the golden section search method; thus, it can be adapted in the optimization of a single design variable for the injection molding process. This proposed method is applied to determine an optimal gate position for the injection molding of a bezel of an automated teller machine for minimizing the injection pressure. Thus, an optimal gate position where the injection pressure is decreased by 4.5 MPa to that of the initial position was obtained with a small number of simulations. It is anticipated that the current proposed search method can be utilized as a practical tool for optimizing single variables for injection molding design.